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Finding the Fourth Proportional to 553.58, 826.28 and 522.83

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Solution

The fourth proportional to 553.58, 826.28 and 522.83 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 826.28 = 522.83 : x
  2. Step 2: Convert to fraction form
    553.58/826.28 = 522.83/x
  3. Step 3: Cross multiply
    553.58x = 826.28 × 522.83
  4. Step 4: Simplify right side
    553.58x = 432,001.59
  5. Step 5: Solve for x
    x = 432,001.59/553.58
  6. Step 6: Final answer
    x = 780.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.